undergradly.
Major · Mathematics & Statistics

Computational and applied math is the bridge from equations to working code

Computational and Applied Mathematics (CIP 27.0304) trains you in numerical methods, optimization, simulation, and modeling — the math that runs on a machine. About 336 bachelor’s degrees are awarded each year across 39 institutions, with five-year median earnings near $94,637.

Schools offering
39
Annual completions
336
Typical degree level
Associate's + Bachelor's
Median earnings (5yr)
$95k

About this major

Computational and Applied Mathematics (CIP 27.0304) is the version of math built to run on a machine. The CIP definition centers on numerical analysis, discrete mathematics, operations research, optimization, differential equations, statistics, and scientific computation applied to concrete scientific and industrial problems. In practice that means a curriculum that spans calculus, linear algebra, ODE and PDE, probability, and a substantial computing track in Python, MATLAB, or C++. Coursework tends to alternate between proof-driven numerical analysis and project work where the deliverable is a simulation, an optimizer, or a model that actually converges.

The major fits students who like mathematics and also like code, and who are drawn to the gap between an equation on the board and a result that ships. It rewards the kind of thinking that breaks a messy real-world question — pricing a derivative, simulating a fluid, scheduling a fleet — into something a solver can chew on. Students often arrive having considered physics, computer science, or engineering and chose this path because they wanted both the underlying mathematics and the computational machinery rather than one or the other.

Nationally the major is small: about 336 bachelor’s degrees are awarded each year across 39 institutions, anchored by programs at the University of Southern California (94), Brigham Young (43), American Public University System (41), and Colorado School of Mines (39). Five-year median earnings sit near $94,637, with bachelor’s-level destinations including data scientist roles ($112,590 median, 33.5% projected growth), actuarial work ($125,770, 21.8% growth), and operations research. The smaller scale partly reflects administrative grouping — many universities classify these students under broader Applied Mathematics or Mathematics codes rather than 27.0304.

Section 3 · Careers

Where this major leads

Occupations most often associated with this major, from the federal BLS+O*NET crosswalk. Job-growth projections and median wages are national.

Occupation Median wage Job growth Typical education
Data scientists $113k +33.5% Bachelor's degree
Natural sciences managers $161k +3.7% Bachelor's degree
Mathematical science teachers, postsecondary $79k +2.3% Doctoral or professional degree
Actuaries $126k +21.8% Bachelor's degree
Statisticians $103k +8.5% Master's degree
Mathematical science occupations, all other $71k +4.0% Bachelor's degree
Mathematicians $122k -0.7% Master's degree
Section 4 · Earnings

Earnings at a glance

Median graduate earnings from the federal College Scorecard, 5 and 10 years out.

Median 5-year earnings

$95k

Who this major is for

Computational and applied math rewards students who already enjoy mathematics and want to point it at machines and real systems. Dense problem sets should feel like puzzles rather than punishment, and you should arrive having already written code outside class — or be ready to live in a debugger for four years. The major plays well with curiosity about how to price a derivative, simulate a climate model, or optimize a supply chain. The packet’s strongest bachelor’s destinations — data scientist roles at $112,590 with 33.5% projected growth and actuarial work at $125,770 with 21.8% growth — both reward students who pair the mathematics with serious programming chops.

The major is a harder fit for students who want a direct line from coursework to a job title without internships, research, or projects on the side. With only 336 graduates a year across 39 reporting institutions, the recruiter footprint is thinner than larger siblings like Mathematics, General (18,758 a year) or Econometrics (15,101). Reconsider this route if programming has been a struggle in earlier coursework, since numerical work runs on code from day one. Real analysis and proof-based linear algebra also appear in most programs, so a strong preference for purely calculation-light work tends to grind against the curriculum.

Section 6 · Where to study

Top colleges for Computational and Applied Mathematics

Ranked by annual completions at the associate's or bachelor's level — a proxy for program scale.

College Location Assoc. Bach. Total
University of Southern California Los Angeles, CA 0 94 94
Brigham Young University Provo, UT 0 43 43
American Public University System Charles Town, WV 0 41 41
Colorado School of Mines Golden, CO 0 39 39
Bryant University Smithfield, RI 0 26 26
University of South Florida Tampa, FL 0 26 26
Rice University Houston, TX 0 13 13
Saint Mary's College Notre Dame, IN 0 8 8
Saint Mary's College of California Moraga, CA 0 6 6
CUNY Brooklyn College Brooklyn, NY 0 6 6
Section 7 · Explore sideways

Related majors to explore

Mathematics, General

18,758 completions/yr

Econometrics and Quantitative Economics

15,101 completions/yr

Statistics, General

3,379 completions/yr

Applied Mathematics, General

2,591 completions/yr

Data Science, General

2,068 completions/yr

Mathematics and Computer Science

1,125 completions/yr

Business Analytics

1,032 completions/yr

Business Statistics

843 completions/yr

Considering this direction?

We've taken a hard look at the debt, earnings trajectory, and degree-level tradeoffs for the Computational and Applied Mathematics field. Read our verdict before you commit.

Is Computational and Applied Mathematics worth it? Read verdict
Section 9 · Frequently asked

Common questions

How is Computational and Applied Math different from Applied Mathematics, General?
Both majors point math outward at real problems, but CIP 27.0304 leans harder into the computational side: numerical analysis, scientific computing, optimization solvers, and simulation pipelines. Applied Mathematics, General (CIP 27.0301) is the broader umbrella — about 2,591 bachelor’s a year — and tends to give more room to modeling and applied analysis without committing as deeply to code. The closest sibling on the other side is Computational Mathematics (CIP 27.0303), which pushes even further toward algorithms and software. Computational and Applied Math sits between the two and is the smaller of the three at 336 completions a year across 39 schools.
Can I get a job with just a bachelor’s in this major?
Yes, though the strongest entry roles lean quantitative and code-fluent. Bachelor’s graduates land as data analysts, quantitative analysts, scientific computing technicians at national labs, operations research analysts, and entry-level actuarial roles where exam progress drives hiring. The packet shows actuaries earning $125,770 with 21.8% projected growth and data scientists at $112,590 with 33.5% growth — both bachelor’s-typical entry points. Roles labeled mathematician or statistician usually expect a master’s, and research positions generally want a PhD.
Is this a feeder for graduate school?
More than most undergraduate majors, yes. The major aligns with master’s programs in financial engineering (MFE), operations research, scientific computing, statistics, and machine learning, and many wage-jump destinations sit on the other side of one of those degrees. Statisticians earn $103,300 at typical-education master’s, and mathematicians earn $121,680, also master’s-typical. PhD pipelines into national labs, deep-tech research, and academia are also common — about a third of computational and applied math undergraduates from research-heavy schools go straight to graduate work.
What do day-to-day classes actually look like?
The spine is calculus through multivariable, linear algebra, differential equations (including partial differential equations), and probability, layered with numerical analysis, optimization, and scientific computing in Python, MATLAB, or C++. Most programs require a sequence on algorithms or computational methods alongside a real analysis or proof-based course, so you will still write proofs even in an applied track. Upper-level work tends to bundle modeling projects — fluid dynamics, finance, biology, climate — where the deliverable is working code that produces a defensible answer. Expect to spend as much time debugging solvers as you do solving by hand.
Why do so few schools offer this exact major?
The packet shows just 39 institutions reporting completions under CIP 27.0304, with the next-tier sibling Mathematics, General drawing 18,758 graduates a year. That gap is mostly an administrative grouping issue — many universities roll computational and applied math students into a broader Applied Mathematics or Mathematics degree rather than reporting them under this code. Programs that do report it tend to be research-focused: USC, Brigham Young, Colorado School of Mines, Rice, and others where computational science is a faculty priority. Rather than chasing the exact CIP code, look for course catalogs covering numerical analysis, optimization, and scientific computing — the substance can sit under several department names.
What programming languages should I learn alongside this major?
Python is the broadest single bet — it dominates scientific computing, data science, and increasingly quantitative finance. C++ stays load-bearing in high-performance numerical work and quant-finance pricing engines, and MATLAB still appears in PDE and engineering-adjacent coursework. SQL is required infrastructure for any analyst role, and Julia is gaining traction in scientific computing labs. Aim to leave with Python plus one of C++ or MATLAB at a working level, and treat version control and Linux fluency as part of the toolkit.